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Capture/Escape Boundary in the Collinear Restricted Three-Body Problem

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Dynamical Trapping and Evolution in the Solar System

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 106))

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Abstract

We study the cantorian structure of the successive intersections of the invariant manifolds of infinity (parabolic orbits) with a certain surface of section. The first of these intersections is computed numerically. The structure of the set of orbits of capture or escape after n binary collisions is given.

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References

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Author information

Authors and Affiliations

  1. Secció de Matemàtiques, Facultat de Ciències, Universitat Autònoma de Barcelona, Bellaterra, Barcelona, Spain

    Gerard Gómez & Jaume Llibre

Authors
  1. Gerard Gómez
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  2. Jaume Llibre
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Editor information

Editors and Affiliations

  1. Dept. of Engineering Science, University of Patras, Patras, Greece

    Vassilis V. Markellos

  2. Tokyo Astronomical Observatory, Mitaka, Tokyo, 181, Japan

    Yoshihide Kozai

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© 1983 D. Reidel Publishing Company, Dordrecht, Holland

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Gómez, G., Llibre, J. (1983). Capture/Escape Boundary in the Collinear Restricted Three-Body Problem. In: Markellos, V.V., Kozai, Y. (eds) Dynamical Trapping and Evolution in the Solar System. Astrophysics and Space Science Library, vol 106. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7214-8_36

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  • DOI: https://doi.org/10.1007/978-94-009-7214-8_36

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7216-2

  • Online ISBN: 978-94-009-7214-8

  • eBook Packages: Springer Book Archive

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